1072806710976 has 2688 divisors, whose sum is σ = 4683600691200. Its totient is φ = 235818086400.

The previous prime is 1072806710971. The next prime is 1072806710977. The reversal of 1072806710976 is 6790176082701.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1072806710971) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34606668081 + ... + 34606668111.

Almost surely, 2^{1072806710976} is an apocalyptic number.

1072806710976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072806710976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341800345600).

1072806710976 is an abundant number, since it is smaller than the sum of its proper divisors (3610793980224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1072806710976 is a wasteful number, since it uses less digits than its factorization.

1072806710976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1072806710976 in words is "one trillion, seventy-two billion, eight hundred six million, seven hundred ten thousand, nine hundred seventy-six".